Concerning Images Of Continua

this paper, we isolate a theorem from which all these results can be obtained. Specifically, this theorem avoids the use of the results on locally trivial fibre spaces. Throughout this paper we use the term mapping to mean continuous function and by a continuum we mean a compact, connected metric space. Suppose Y is a continuum. A subcontinuum K of Y is said to be a W -set provided if f is a mapping of a continuum X onto Y , there is a subcontinuu